Question

Most cereal boxes are about 12 inches tall, 8 inches wide, and 2 inches deep

Answer 1

Step-by-step explanation

The new cereal box has the form of a cube.

The volume of the cube is given by the expression a^3

Where a is the side of the cube. This is equal to the volume of the original box.

`a^3=12*8*2=192_{\text{ }}in^3`

Isolating the value of a:

`a=\sqrt[3]{192}`

Computing the cubic root:

`a=5.7689`

Then, the surface area of the box is the following:

`Surface=6a^2`

Plugging in the values:

`Surface=6(5.77)^2=199.75in^2`

This area is more than the surface of the original box.

In conclusion, the manufacturing cost of the new cereal box will be more.